Pith Number

pith:IFYRDVVM

pith:2013:IFYRDVVMJOW7N2T3CUZMFS3YFK

not attested not anchored not stored refs pending

Constraints on a $\phi$CDM model from strong gravitational lensing and updated Hubble parameter measurements

Chao-Qiang Geng, Shuo Cao, Yu-Mei Huang, Yun Chen, Zong-Hong Zhu

arxiv:1312.1443 v3 · 2013-12-05 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFYRDVVMJOW7N2T3CUZMFS3YFK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:27:44.827354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

417111d6ac4badf6ea7b1532c2cb782a8d719eccfaef70d4ee902a76909c1c9b

Aliases

arxiv: 1312.1443 · arxiv_version: 1312.1443v3 · doi: 10.48550/arxiv.1312.1443 · pith_short_12: IFYRDVVMJOW7 · pith_short_16: IFYRDVVMJOW7N2T3 · pith_short_8: IFYRDVVM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IFYRDVVMJOW7N2T3CUZMFS3YFK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 417111d6ac4badf6ea7b1532c2cb782a8d719eccfaef70d4ee902a76909c1c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae8cc77b7e82c354b41040aab0be23d5e6b5ab152206833541840bd14ee61ed",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-05T06:08:56Z",
    "title_canon_sha256": "bc6e953ce17ec4f27a14c3b4a1fa98c3e951212d9a86672de4cb8a66eaa18824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1443",
    "kind": "arxiv",
    "version": 3
  }
}